Answer:
4/3
Step-by-step explanation:
2x =50 since it is an isosceles triangle
x =25
the sum of all angles in a triangle is 180
5y + 10 + 50 + 2x=180
5y + 10 + 50 +50 =180 because 2x = 50
combine like terms
5y +110 = 180
subtract 110 from each side
5y = 70
y = 14
Answer:
The claim that the scores of UT students are less than the US average is wrong
Step-by-step explanation:
Given : Sample size = 64
Standard deviation = 112
Mean = 505
Average score = 477
To Find : Test the claim that the scores of UT students are less than the US average at the 0.05 level of significance.
Solution:
Sample size = 64
n > 30
So we will use z test

Formula : 


Refer the z table for p value
p value = 0.9772
α=0.05
p value > α
So, we accept the null hypothesis
Hence The claim that the scores of UT students are less than the US average is wrong
Answer:
NO
Step-by-step explanation:
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<u>Given</u><u> </u><u>:</u><u>-</u>
- The roots of the function are 5 and -3 .
<u>To</u><u> </u><u>Find</u><u> </u><u>:</u><u>-</u>
<u>Answer</u><u> </u><u>:</u><u>-</u>
The roots of the function are 5 and -3 . In general we can write the Quadratic function with roots π and ∆ as ,
f(x) = ( x - π )(x-∆)
So on using this we have ,
f(x) = ( x -5)( x -(-3))
f(x) = (x-5)(x+3)
f(x) = x(x-5)+3(x-5)
f(x) = x² -5x +3x -15
f(x) = x² -2x -15
<u>Hence </u><u>the</u><u> required</u><u> </u><u>answer</u><u> </u><u>is </u><u>x²</u><u> </u><u>-2x </u><u>-</u><u>1</u><u>5</u><u>.</u>